Not wise to run without a thermostat. The engine is designed to burn the fuel at a certain temperature, so the ECU/PCM mappings will constantly be trying to compensate for the wrong engine temps. This will effect your MPG. Your oil will contaminate quicker as well, as a cooler engine will not burn out any condensation from the oil that can collect.
Its also going to be a higher polluter.
It is better to keep your mouth closed and let people think you are a fool than to open it and remove all doubt.